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DTSTART;TZID=America/Los_Angeles:20220322T123000
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CREATED:20220128T031313Z
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UID:2575-1647952200-1647955200@colleges.claremont.edu
SUMMARY:Continuous extensions of Ramanujan-expandable arithmetic functions (Matthew Fox\, Perimeter Institute for Theoretical Physics and Chai Karamchedu\, Sandia National Labs)
DESCRIPTION:We describe a natural way to continuously extend arithmetic functions that admit a Ramanujan expansion and derive the conditions under which such an extension exists. In particular\, we show that the absolute convergence of a Ramanujan expansion does not guarantee the convergence of its real variable generalization. We take the divisor function as a case study\, and consider how to continuously extend it to the reals.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-matthew-fox-perimeter-institute-for-theoretical-physics-and-chai-karamchedu-sandia-national-labs/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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